What are the solutions of the following equation?

4|x - 9| + 9 = - 3|x - 9| + 9 4∣x-9∣+9=-3∣x-9∣+9

x = 9

Step-by-step explanation:

4∣x-9∣+9 = - 3∣x-9∣+9

cancel equal terms on both sides of the equation

4∣x-9∣+9 = - 3∣x-9∣+9

the statement is true but only if both sides equal 0

4∣x - 9∣ = - 3∣x - 9∣ 4 x | x - 9| = 0 - 3∣x - 9∣ = 0

solve the equation for x

4x |x - 9| = 0

divide both sides of the equation by 4

|x-9| = 0

when the absolute value of x - 9 equals 0, then x - 9 = 0

x - 9 = 0

move the constant to the right side and change it's sign

x - 9 = 0 x = 9

so the answer would be x = 9

Answer: it's x=9